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4319172312 = 2337137327091
BaseRepresentation
bin1000000010111000…
…10101011011011000
3102011000021200112220
410001130111123120
532321202003222
61552330504040
7212014234050
oct40134253330
912130250486
104319172312
1119170730a4
12a06595020
1353aaa2c80
142cd8b8560
151a42beb5c
hex1017156d8

4319172312 has 128 divisors (see below), whose sum is σ = 13472309760. Its totient is φ = 1123476480.

The previous prime is 4319172289. The next prime is 4319172313. The reversal of 4319172312 is 2132719134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4319172313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145887 + ... + 172977.

It is an arithmetic number, because the mean of its divisors is an integer number (105252420).

Almost surely, 24319172312 is an apocalyptic number.

4319172312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4319172312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736154880).

4319172312 is an abundant number, since it is smaller than the sum of its proper divisors (9153137448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4319172312 is a wasteful number, since it uses less digits than its factorization.

4319172312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27193 (or 27189 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 4319172312 is about 65720.4101630536. The cubic root of 4319172312 is about 1628.5465498464.

The spelling of 4319172312 in words is "four billion, three hundred nineteen million, one hundred seventy-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 292 312 364 438 511 546 584 728 876 949 1022 1092 1533 1752 1898 2044 2184 2847 3066 3796 4088 5694 6132 6643 7592 11388 12264 13286 19929 22776 26572 27091 39858 53144 54182 79716 81273 108364 159432 162546 189637 216728 325092 352183 379274 568911 650184 704366 758548 1056549 1137822 1408732 1517096 1977643 2113098 2275644 2465281 2817464 3955286 4226196 4551288 4930562 5932929 7395843 7910572 8452392 9861124 11865858 13843501 14791686 15821144 19722248 23731716 25709359 27687002 29583372 41530503 47463432 51418718 55374004 59166744 77128077 83061006 102837436 110748008 154256154 166122012 179965513 205674872 308512308 332244024 359931026 539896539 617024616 719862052 1079793078 1439724104 2159586156 4319172312